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Suppose there is a basket containing one apple and two oranges. A student randomly pick one...

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Question

Basic Math

Suppose there is a basket containing one apple and twooranges. A student randomly pick one fruit from the basket untilthe first time the apple is picked. (Sampling withreplacement)

(a) What is the sample space for this experiment? Whatis the probability that the student pick the apple after itosses?

(b) What is the expected number of times the studentsneed to pick the apple?

(c) Let E be the event that the first time an apple ispicked up is after an even number of picks. What set of outcomesbelong to this event? What is the probability that Eoccurs?

Answer & Explanation Solved by verified expert
4.3 Ratings (795 Votes)
This is Sampling with replacement ie the fruit is placed backto the basket after each pickLet stand fororange and stand    See Answer
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